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Finding the Fourth Proportional to 199,423.40, 298,940.70 and 178,428.20

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Solution

The fourth proportional to 199,423.40, 298,940.70 and 178,428.20 is: 267,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,423.40 : 298,940.70 = 178,428.20 : x
  2. Step 2: Convert to fraction form
    199,423.40/298,940.70 = 178,428.20/x
  3. Step 3: Cross multiply
    199,423.40x = 298,940.70 × 178,428.20
  4. Step 4: Simplify right side
    199,423.40x = 53,339,451,007.74
  5. Step 5: Solve for x
    x = 53,339,451,007.74/199,423.40
  6. Step 6: Final answer
    x = 267,468.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.